Maclaurin's inequality
id:
maclaurin-s-inequality-270-13063094
title:
Maclaurin's inequality
text:
In mathematics, Maclaurin's inequality, named after Colin Maclaurin, is a refinement of the inequality of arithmetic and geometric means. Let a 1 , a 2 , … , a n be non-negative real numbers, and for k = 1 , 2 , … , n , define the averages S k as follows: The numerator of this fraction is the elementary symmetric polynomial of degree k in the n variables a 1 , a 2 , … , a n , that is, the sum of all products of k of the numbers a 1 , a 2 , … , a n with the indices in increasing order. The denomi
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https://en.wikipedia.org/wiki/Maclaurin%27s_inequality
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2024-03-04T14:29:52Z
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